Piecewise Hereditary algebras of Dynkin and extended Dynkin type
Representation Theory
2019-03-12 v2
Abstract
We present a study on the description of incidence algebras that are piecewise hereditary, which we denominate Phia algebras. We describe the quiver with relations of the Phia algebras of Dynkin type and introduce a new family of Phia algebras of extended Dynkin type, which we call ANS family, in reference to Assem, Nehring, and Skowro\'nski. In this description, the important method was the one of cutting sets on trivial extensions, inspired by this we made of a computer program which shows exactly the cutting sets on the given trivial extension that result on incidence algebras.
Keywords
Cite
@article{arxiv.1704.03359,
title = {Piecewise Hereditary algebras of Dynkin and extended Dynkin type},
author = {Eduardo N. Marcos and Marcelo Moreira},
journal= {arXiv preprint arXiv:1704.03359},
year = {2019}
}
Comments
Revised the paper substantially, adding more background information, clarifying the exposition and new results